Relaxation in one-dimensional tropical sandpile

Q3 Mathematics

Communications in Mathematics Pub Date : 2023-09-26 DOI:10.46298/cm.10483

Mikhail Shkolnikov

引用次数: 1

Abstract

A relaxation in the tropical sandpile model is a process of deforming a tropical hypersurface towards a finite collection of points. We show that, in the one-dimensional case, a relaxation terminates after a finite number of steps. We present experimental evidence suggesting that the number of such steps obeys a power law.

查看原文本刊更多论文

一维热带沙堆松弛

热带沙堆模型中的松弛是一个将热带超曲面向有限点集合变形的过程。我们证明，在一维情况下，松弛在有限步数后终止。我们提出的实验证据表明，这些步骤的数量服从幂律。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.